2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/144321We give several versions of local and global inverse mapping theorem for tame non necessarily smooth, mappings. Here tame mapping means a mapping which is subanalytic or, more generally, definable in some o-minimal structure. Our sufficient conditions are formulated in terms of various properties (convexity, positivity of some principal minors, contractiblity) of the space of Jacobi's matrices at smooth points.19 pagesGeometric Topology52Axx, 32F27, 03C64 (Primary), 14P10, 58A35 (Secondary)text